Add 28/42 and 49/75
28/42 + 49/75 is 33/25.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
28/42 = 28 × 25/42 × 25 = 700/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
49/75 = 49 × 14/75 × 14 = 686/1050 - Add the two like fractions:
700/1050 + 686/1050 = 700 + 686/1050 = 1386/1050 - 1386/1050 simplified gives 33/25
- So, 28/42 + 49/75 = 33/25
In mixed form: 18/25
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